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Finding the Fourth Proportional to 3,596.46, 5,389.83 and 1,866.30

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Solution

The fourth proportional to 3,596.46, 5,389.83 and 1,866.30 is: 2,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.46 : 5,389.83 = 1,866.30 : x
  2. Step 2: Convert to fraction form
    3,596.46/5,389.83 = 1,866.30/x
  3. Step 3: Cross multiply
    3,596.46x = 5,389.83 × 1,866.30
  4. Step 4: Simplify right side
    3,596.46x = 10,059,039.73
  5. Step 5: Solve for x
    x = 10,059,039.73/3,596.46
  6. Step 6: Final answer
    x = 2,796.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.